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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

A combinatorial approach to the classi cation of resolution graphs of weighted homogeneous plane curve singularities

Amir SHEHZAD
Muhammad Ahsan BÜNYAMİN
Hafiz Muhammad Afzal SİDDİQUİ
Sayfa
805–812
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The classication shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article we describe the classication of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics.
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Temel Bulgular & Veri:In this article we describe the classication of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics.
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Sonuç & Katkı:The classication shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this article we describe the classication of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics. The classication shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar

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Bu Makaleye Atıf Yap

SHEHZAD, A., BÜNYAMİN, M. A., SİDDİQUİ, H. M. A. (2022). A combinatorial approach to the classi cation of resolution graphs of weighted homogeneous plane curve singularities. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 805–812. https://ajindex.com/articles/529846

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Kaynakça (8)

  1. Arnold, V. I.; Gusein-Zade, S. M.; Varchenko,A. N. Singularities of Di erentiable Maps, Volume I, Birkh‰user, Boston Basel Berlin (1985).
  2. Cutkosky, S. D. and Srinivasan, H.; The algebraic fundamental group of a curve singularity, Journal of Algebra 230, 101-126, (2000).
  3. De Jong, T. and P ster, G.; Local Analytic Geometry, Vieweg (2000).
  4. Jingen, Y.; Curve Singularities and Graphs, Acta Mathematica Sinica, 6 (1), 87-96, (1990). Koll·r, J.; Lectures on Resolution of Singularities, Princeton University Press (2007).
  5. Kang, C.; Analytic Types of Plane Curve Singularities de ned by Weighted Homogeneous Polynomials, Trans. A.M.S. 352 (9), 3995-4006, (2000).
  6. Muhly, H.T. and Zariski, O.; The Resolution of Singularities of an Algebraic curve, Amer.J.Math., 61 (1), 107-114, (1939).
  7. Saito, K.; Quasihomogene isolierte singularit‰ten von hyper ‰chen, Invent. Math. 14, 123-142, (1971).
  8. Wall, C.T.C.; Singular Points of Plane Curves, Cambridge University Press (2004).